The Bruhat order on the involutions of the hyperoctahedral group

Authors:
Federico Incitti
Affiliations:
Dipartimento di Matematica, Università "La Sapienza", P.le Aldo Moro 5, 00185 Rome, Italy
Venue:
European Journal of Combinatorics
Year:
2003

Citing 3
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Abstract

In this paper we study the set of involutions of the hyperoctahedral group Bn with the order induced by the Bruhat order of Bn. We prove that this is a graded poset, giving an explicit formula for its rank function, and that it is EL-shellable, hence Cohen-Macaulay, and Eulerian.